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Finding the Fourth Proportional to 39,723, 59,584.50 and 14,769.33

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Solution

The fourth proportional to 39,723, 59,584.50 and 14,769.33 is: 22,154.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,723 : 59,584.50 = 14,769.33 : x
  2. Step 2: Convert to fraction form
    39,723/59,584.50 = 14,769.33/x
  3. Step 3: Cross multiply
    39,723x = 59,584.50 × 14,769.33
  4. Step 4: Simplify right side
    39,723x = 880,023,143.39
  5. Step 5: Solve for x
    x = 880,023,143.39/39,723
  6. Step 6: Final answer
    x = 22,154.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.